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On a coordinate plane, a line is drawn from point J to point K. Point J is at (negative 15, negative 5) and point K is at (25, 15). What are the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4? x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1 (–13, –3) (–7, –1) (–5, 0) (17, 11)

Sagot :

MrRoyalidn

Answer:

[tex](x,y) = (-7,-1)[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (-15,-5)[/tex]

[tex](x_2,y_2) = (25,15)[/tex]

[tex]m:n = 1:4[/tex]

Required

Determine the coordinate of the partition

This is calculated as:

[tex](x,y) = (\frac{nx_1+ mx_2}{m+n},\frac{ny_1+ my_2}{m+n})[/tex]

Substitute values for x's and y's

[tex](x,y) = (\frac{4*-15+ 1*25}{1+4},\frac{4*-5+ 1*15}{1+4})[/tex]

[tex](x,y) = (\frac{-60+ 25}{5},\frac{-20+ 15}{5})[/tex]

[tex](x,y) = (\frac{-35}{5},\frac{-5}{5})[/tex]

[tex](x,y) = (-7,-1)[/tex]

Answer:

b

Step-by-step explanation:

i think that's right

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